11117017800 has 768 divisors, whose sum is σ = 48139776000. Its totient is φ = 2299207680.

The previous prime is 11117017799. The next prime is 11117017811. The reversal of 11117017800 is 871071111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16518264 + ... + 16518936.

It is an arithmetic number, because the mean of its divisors is an integer number (62682000).

Almost surely, 2^11117017800 is an apocalyptic number.

11117017800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11117017800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24069888000).

11117017800 is an abundant number, since it is smaller than the sum of its proper divisors (37022758200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11117017800 is a wasteful number, since it uses less digits than its factorization.

11117017800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 27.

Adding to 11117017800 its reverse (871071111), we get a palindrome (11988088911).

The spelling of 11117017800 in words is "eleven billion, one hundred seventeen million, seventeen thousand, eight hundred".